Find the ordered triple (x, y, z) that satisfies the following system:

x-2y& =0

y-2z& =0

x+z& =5.

First we correctly rewrite the system of equations:

x-2y = 0

y-2z = 0

x + z = 5

Solving the system of equations by any method we obtain the following results:

x = 4

y = 2

z = 1

Therefore we have that the ordered triple (x, y, z) is:

(x, y, z) = (4, 2, 1)

Answer:

the ordered triple (x, y, z) that satisfies the system is:

(x, y, z) = (4, 2, 1)